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27768384072 = 233211132697007
BaseRepresentation
bin11001110111000111…
…111110101001001000
32122200020010001211100
4121313013332221020
5423332201242242
620431232501400
72002061240652
oct316707765110
978606101740
1027768384072
111085a58aa50
12546b6aa860
132806c440c0
1414b5cdb6d2
15ac7c6454c
hex6771fea48

27768384072 has 96 divisors (see below), whose sum is σ = 88353982080. Its totient is φ = 7767377280.

The previous prime is 27768384029. The next prime is 27768384221. The reversal of 27768384072 is 27048386772.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338208 + ... + 1358799.

It is an arithmetic number, because the mean of its divisors is an integer number (920353980).

Almost surely, 227768384072 is an apocalyptic number.

27768384072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27768384072 is an abundant number, since it is smaller than the sum of its proper divisors (60585598008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27768384072 is a wasteful number, since it uses less digits than its factorization.

27768384072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697043 (or 2697036 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 27768384072 in words is "twenty-seven billion, seven hundred sixty-eight million, three hundred eighty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 2697007 5394014 8091021 10788028 16182042 21576056 24273063 29667077 32364084 35061091 48546126 59334154 64728168 70122182 89001231 97092252 105183273 118668308 140244364 178002462 194184504 210366546 237336616 267003693 280488728 315549819 356004924 385672001 420733092 534007386 631099638 712009848 771344002 841466184 1068014772 1157016003 1262199276 1542688004 2136029544 2314032006 2524398552 3085376008 3471048009 4628064012 6942096018 9256128024 13884192036 27768384072